On the spectral stability of functional-differential equations

被引：5

作者：

Rossovskii, L. E. ^{[1
]}

机构：

[1] Russian Peoples Friendship Univ, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2011年 / 90卷 / 5-6期

基金：

俄罗斯基础研究基金会;

关键词：

elliptic functional-differential equation; boundary value problem; contraction and dilatation; star-shaped domain; internal perturbation of a domain; Sobolev space; sesquilinear form; Hilbert-Schmidt theorem; Riesz theorem; Hermitian form; Banach algebra; OPERATORS;

D O I：

10.1134/S0001434611110265

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A boundary value problem for an elliptic functional-differential equation with contraction and dilatation of the arguments of the desired function in the leading part is considered in a starshaped bounded domain. Estimates for the modification of eigenvalues of the operator of the problem under internal deformations of the domain are obtained.

引用

页码：867 / 881

页数：15

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